Answer: 17 cm
Step-by-step explanation:
For a regular figure where the area of the base is B, and the height is H, the volume is calculated as:
V = B*H
Here we know that the base of the prism is B = 3 cm^2, and the volume of the prism is 51 cm^3
Then:
B = 3cm^2
V = 51cm^3
If we replace those in the equation above, we get:
51 cm^3 = (3cm^2)*H
Solving this for H gives:
(51 cm^3)/(3 cm^2) = H = 17 cm
The height of the tubing is 17 cm
Hey there, Lets solve this problem together.
The First step is to line up the numbers.
<span>We calculate </span>
<span>the result of which is </span>
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<span>We calculate </span>
<span> the result of which is </span>
<span>.
</span>
Since we get a negative number in the next column, we must take 1 from the next column and carry it over to this column. Now the number will be changed to 10.
We calculate
, and the result is
.
<span>We calculate </span>
<span> the result of which is</span>
<span>.
</span>
Therefore,
In order to find b1 from your formula stated we need to do few calculations
A=hb1+hb2, as you wee I multiply h with both bases( b1 and b2)
I will subtract hb2 from both sides
hb1=A-hb2
now I will divide my new expression by h
b1=(A-hb2)/h
The percent change in attendance, relative to last year's show is a 5% increase.
<h3>What is a percentage? </h3>
A Percentage can be described as a fraction out of an amount that is usually expressed as a number out of hundred.
<h3>What is the percentage change in attendance? </h3>
The value of the percentage change in attendance can be determined by subtracting the number of people in this year's show from the number of people at last year's show. The result would be divided by the number of people at last year's show and multiplied by 100.
[(16,800 - 16,000)/16,000] x 100 = 5%
To learn more about percentages, please check: brainly.com/question/25764815
<h2>
Answer:</h2>
<h2>
Step-by-step explanation:</h2>
For a better understanding of this problem, see the figure below. Our goal is to find . Since:
and is a common side both for ΔMRN and ΔMQN, then by SAS postulate, these two triangles are congruent and:
By Pythagorean theorem, for triangle NQP:
Applying Pythagorean theorem again, but for triangle MQN: